Home
Class 11
MATHS
Find the sum .^(10)C1+^(10)C3+^(10)C5+^(...

Find the sum `.^(10)C_1+^(10)C_3+^(10)C_5+^(10)C_7+^(10)C_9`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

Find the values of .^(10)C_(4)

Find the value of (.^(10)C_(10))+(.^(10)C_(0)+.^(10)C_(1))+(.^(10)C_(0)+.^(10)C_(1)+.^(10)C_(2))+"...."+(.^(10)C_(0)+.^(10)C_(1)+.^(10)C_(2)+"....." + .^(10)C_(9)) .

Find the sum sum_(k=0)^(10).^(20)C_k .

Find the sum 2..^(10)C_(0) + (2^(2))/(2).^(10)C_(1) + (2^(3))/(3).^(10)C_(2)+(2^(4))/(4).^(10)C_(3)+"...."+(2^(11))/(11).^(10)C_(10) .

Find the value of .^(20)C_(0) xx .^(13)C_(10) - .^(20)C_(1) xx .^(12)C_(9) + .^(20)C_(2) xx .^(11)C_(8) - "……" + .^(20)C_(10) .

Find the value of .^10 C_4

Find the value of .^10 C_2

Find the value of .^11 C_10

Find the value of .^(20)C_(0) - .^(20)C_(1)+ .^(20)C_(2) - .^(20)C_(3) +"……"-"....." + .^(20)C_(10) . is

The sum of series .^(20)C_0-^(20)C_1+^(20)C_2-^(20)C_3++^(20)C_10 is 1/2 .^(20)C_10 b. 0 c. .^(20)C_10 d. -^(20)C_10

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. Find the coefficient of x^5 in the expression of (1+x^2)^5(1+x)^4.

    Text Solution

    |

  2. Find the coefficient of x^(13) in the expansion of (1-x)^5xx(1+x+x^2+x...

    Text Solution

    |

  3. Find the sum .^(10)C1+^(10)C3+^(10)C5+^(10)C7+^(10)C9

    Text Solution

    |

  4. Find the sum of 1/(1!(n-1)!)+1/(3!(n-3)!)+1/(5!(n-5)!)+ ...,

    Text Solution

    |

  5. If n is an even positive integer, then find the value of x if the gr...

    Text Solution

    |

  6. If |x|<1, then find the coefficient of x^n in the expansion of (1+2x+3...

    Text Solution

    |

  7. If (r+1)t h term is the first negative term in the expansion of (1+x)^...

    Text Solution

    |

  8. If |x|<1, then find the coefficient of x^n in the expansion of (1+x+x^...

    Text Solution

    |

  9. If |x|>1, then expand (1+x)^(-2)dot

    Text Solution

    |

  10. Find the cube root of 27

    Text Solution

    |

  11. Find the coefficient of x^2 in (a/(a+x))^(1//2)+(a/(a-x))^(1//2)

    Text Solution

    |

  12. Prove that :^(10)C1(x-1)^2-^(10)C2(x-2)^2+^(10)C3(x-3)^2 .....-^(10)C(...

    Text Solution

    |

  13. If the third term in the expansion of (1+x)^mi s-1/8x^2, then find the...

    Text Solution

    |

  14. Prove that sum(r=0)^n r(n-r)(.^nC r)^2=n^2(.^(2n-2)Cn)dot

    Text Solution

    |

  15. Prove that 1-^n C1(1+x)/(1+n x)+^n C2(1+2x)/((1+n x)^2)-^n C3(1+3x)/((...

    Text Solution

    |

  16. Find the coefficient of x^(20) in (x^2+2+1/(x^2))^(-5)(1+x^2)^(40)dot

    Text Solution

    |

  17. The number of terms in the expansion of (a+b+c)^n where ninN is

    Text Solution

    |

  18. Find the coefficient of x^(50) in the expansion of (1+x)^(101)xx(1-x+x...

    Text Solution

    |

  19. Find the coefficient of x^4 in the expansion of (2-x+3x^2)^6dot

    Text Solution

    |

  20. Find the coefficient of x^k in1+(1+x)+(1+x)^2++(1+x)^n(0lt=klt=n)dot

    Text Solution

    |